Arbikosov vortex and Heisenberg

[Irid]

Hello,
I'm studying superconductors and I began to wonder about Abrikosov vortices. They possesses a precise quantum flux (h/e), and are also localized in space enough to be exactly pin-pointed by experimental techniques. As it is some kind of a quantum object, shouldn't these vortex properties not commute with something? Are there any quantum uncertainties associated with it?

 

[f95toli]

Generally speaking, the superconducting phase commutes with charge(=the number of Cooper pairs). This is certainly true for phase qubits, and although I don't remember the details I assume the same would be true for e.g. a vrotex qubit (not that anyone has even succesfully demonstrated one)